1160730829440 has 1536 divisors, whose sum is σ = 5157550195200. Its totient is φ = 244552089600.

The previous prime is 1160730829421. The next prime is 1160730829477. The reversal of 1160730829440 is 449280370611.

1160730829440 is a `hidden beast` number, since 1 + 1 + 60 + 73 + 0 + 82 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1655821090 + ... + 1655821790.

It is an arithmetic number, because the mean of its divisors is an integer number (3357780075).

Almost surely, 2^{1160730829440} is an apocalyptic number.

1160730829440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1160730829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578775097600).

1160730829440 is an abundant number, since it is smaller than the sum of its proper divisors (3996819365760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1160730829440 is an frugal number, since it uses more digits than its factorization.

1160730829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1160730829440 in words is "one trillion, one hundred sixty billion, seven hundred thirty million, eight hundred twenty-nine thousand, four hundred forty".